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Finding the Fourth Proportional to 309,996.51, 465,034.85 and 213,754.84

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Solution

The fourth proportional to 309,996.51, 465,034.85 and 213,754.84 is: 320,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,996.51 : 465,034.85 = 213,754.84 : x
  2. Step 2: Convert to fraction form
    309,996.51/465,034.85 = 213,754.84/x
  3. Step 3: Cross multiply
    309,996.51x = 465,034.85 × 213,754.84
  4. Step 4: Simplify right side
    309,996.51x = 99,403,449,327.97
  5. Step 5: Solve for x
    x = 99,403,449,327.97/309,996.51
  6. Step 6: Final answer
    x = 320,659.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.